1. **Problem 3a:** The equation is $$y = 0.45x + 3.75$$. - Here, $x$ represents the number of ounces of salad. - $y$ represents the total cost of the lunch (soup plus salad). - We say: The total cost $y$ is a function of the number of ounces of salad $x$. 2. **Problem 3b:** - When $x=0$, the function value is $$y = 0.45 \times 0 + 3.75 = 3.75$$. - This represents the cost of the lunch when no salad is bought, which is just the cost of the soup. 3. **Problem 3c:** - The rate of change is the coefficient of $x$, which is $0.45$. - This means the cost increases by 0.45 for each additional ounce of salad. 4. **Problem 3d:** - To find the cost of an 8-ounce salad without soup, set soup cost to zero. - Since soup costs $3.75$, without soup means we only pay for salad. - Salad cost = $0.45 \times 8 = 3.6$. - So, the cost of an 8-ounce salad without soup is $3.6$. 5. **Problem 4:** Given $$y = 15x + 125$$ where: - $y$ is total yearly cost. - $x$ is number of visits. Check each statement: - A: Initial value is 125, not 15, so A is false. - B: $x$ represents number of visits, not cost per visit, so B is false. - C: Rate of change is 15, true. - D: Initial value 125 represents annual membership fee, true. - E: Number of visits is not a function of total cost; total cost depends on visits, so E is false. - F: Total yearly cost is a function of number of visits, true. **Correct answers:** C, D, F.